Solve for p. Give an exact answer. {:[4+2p=10((3)/(5)p-2)],[p=◻]:}

Simplify equation using distributive property: Simplify the equation on the right side of the first equation using the distributive property. 10 * ((3/5)p - 2) = 10 * (3/5)p + 10 * (-2) = 6p - 20Isolate variable p: Now we have the equation 4 + 2p = 6p - 20. Next, we will isolate the variable p on one side of the equation. Subtract 2p from both sides of the equation. 4 + 2p - 2p = 6p - 20 - 2p 4 = 4p - 20Add 20 to both sides: Next, add 20 to both sides of the equation to isolate the term with p. 4 + 20 = 4p - 20 + 20 24 = 4pDivide both sides by 4: Finally, divide both sides of the equation by 4 to solve for p. 24 / 4 = 4p / 4 6 = p

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Solve for
p.
Give an exact answer.

{:[4+2p=10((3)/(5)p-2)],[p=◻]:}

Solve for $p$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 4+2 p=10\left(\frac{3}{5} p-2\right) \\ p=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

p

\newline

Give an exact answer.

\newline

\begin{array}{l} 4+2 p=10\left(\frac{3}{5} p-2\right) \\ p=\square \end{array}

Simplify equation using distributive property: Simplify the equation on the right side of the first equation using the distributive property. $\newline$ $10 \times \left(\frac{3}{5}p - 2\right)$ $\newline$ = $10 \times \frac{3}{5}p + 10 \times (-2)$ $\newline$ = $6p - 20$
Isolate variable $p$ : Now we have the equation $4$ + $2$ p = $6$ p - $20$ . Next, we will isolate the variable $p$ on one side of the equation. $\newline$ Subtract $2$ p from both sides of the equation. $\newline$ $4$ + $2$ p - $2$ p = $6$ p - $20$ - $2$ p $\newline$ $4$ = $4$ p - $20$
Add $20$ to both sides: Next, add $20$ to both sides of the equation to isolate the term with $p$ . $\newline$ $4 + 20 = 4p - 20 + 20$ $\newline$ $24 = 4p$
Divide both sides by $4$ : Finally, divide both sides of the equation by $4$ to solve for $p$ . $\frac{24}{4} = \frac{4p}{4}$ $6 = p$